With very fascinating efficiency outcomes.
It should’ve been previous midnight. I don’t keep in mind the place (possibly Medium?), however I realized one might use Google Finance’s API inside a web based spreadsheet to question inventory worth knowledge. ? So, half-heartedly, I question some knowledge and begin taking part in round. My go-to was the S&P500 (ticker: INDEXSP:.INX; known as SPX) and an equal ETF (ticker SPY).
Quick ahead a number of minutes, I’m trying on the graph under.

Exploration
Three items stick out to me within the graph above: first, there appears to be cyclicality, then I see reversion conduct, and lastly, there appears to be an exponential development/decay issue at play (a long-term pattern, if you’ll). Furthermore, it appears there are occasions when the worth of the index and the worth of the ETF differ in direction of and away from one another — there appears to be an arbitrary, slow-moving, center level.
From this, I bounce to the conclusion this could possibly be a worthwhile discovering.
Quick ahead slightly extra, I discovered that in sure elements of the 12 months — 4 instances EVERY YEAR in reality, since 2013 — the worth of the connection comes off rapidly, it often takes +/- 5 days to finish, then the rest of the interval the worth of the connection slowly creeps upward, solely till it comes off once more.
For extra context, I take the S&P500 away from an element of the ETF, so when the worth of the funding drops, it implies the S&P500 weakens relative to the ETF. Or you might state it within the reverse, the ETF strengthens relative to the S&P500 throughout that interval.
Moreover, it doesn’t matter which leg is doing the work, as a result of the funding is predictable. Now, understanding which leg is more likely to do the work could be an much more worthwhile technique, however we’ll go away that on the desk for now.
Preliminary Analysis
In a scenario like this, the place we observe a sample with all our knowledge, I’m at all times skeptical of evaluating outcomes. It’s the traditional, “You can not use the identical knowledge level for rigor, if it was used for inspiration.” Doing so is akin to tasting a beverage first earlier than hypothesizing whether or not or not you’re going to take pleasure in it— you simply can not try this.
In fact, I’m going to interrupt that rule, as a result of this text wouldn’t be as fascinating. It will be beneficial to examine much more ETFs (than SPY) to see if it is a phenomena that happens in additional locations than one. In the event you try this work, please give your insights within the feedback under.
The technique right here is to be lengthy the funding the massive majority of the 12 months, besides once we suppose the connection will drop, then we’d flip our place to quick. Keep in mind, I discussed this happens 4 instances yearly and just for a +/- 5 days, so the technique can be quick for 20–30 days per 12 months and lengthy the remainder of the 12 months. The efficiency of this technique is proven within the graph under.

Stats: Win%=57.4; WghtWin%=64.2; AvgAnnPL=77.4; AvgAnnVaR=3.9; MaxDraw=26.2; AnnPL/MaxDraw=3.1; AnnPL/VaR=23.9; AnnPL/$Inv=0.015
It appears the technique performs higher, in a shorter window, in the course of the massive drops within the funding. I feel this is the reason we see the weighted win % increased than the (unweighted) win %. It will be good to measurement positions based on the likelihood of upper positive aspects.
Once more, the guess of this technique is, for many of the 12 months, the S&P500 will strengthen relative to the ETF, and every so often, we flip the logic of the guess.
Why does this conduct exist? What forces drive the continued divergence and fast reversion at completely different instances of the 12 months (and the very same instances from 12 months to 12 months)?
Evaluate
Let’s take a step again, now that we perceive the technique slightly higher, and critically take into consideration what these outcomes inform us.
The annualized PL / max each day drawdown in addition to annualized PL/worth in danger each look nice. However, the largest challenge I’ve with the efficiency stats is the annual PL/cash invested. 0.015 is horrible. That worth means I’ll make 1.5% of no matter I make investments, in a median 12 months. Common Annual PL says we’ll make $77, however I’ve to take a position, on common, $5,133. So, if I wish to make any form of cash on this technique, in a full 12 months — assuming I wish to make $10K — then I must allocate $667K for the entire 12 months.
I don’t even suppose it’s price pursuing the evaluation additional. Do you?
Closing Ideas
On this article we mentioned a extremely fascinating arbitrage between the S&P500 and one in every of its ETF’s: SPY. The technique we employed appeared promisingly predictive. After we evaluated the selections the technique would have informed us to make via historical past, we realized the efficiency seemed superb. Put into context, after reviewing abstract statistics, we realized it will take a considerable amount of capital to make any cheap amount of money for somebody like me.
The query I’m left with is, “Wouldn’t it be definitely worth the funding?”
Go away your ideas within the feedback under. I’d love for somebody to disagree with me.
***Please be suggested, I’ve not made any suggestions for buying and selling or investments. This text is for the reader — to not be taken as funding recommendation. Contact a monetary advisor for such inquiries. I’m not a monetary advisor.
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